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Write a pair of irrational numbers whose product is rational.

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Question

Write a pair of irrational numbers whose product is rational. 

Sum
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Solution

A pair of irrational numbers whose product is rational is:

`sqrt2 and sqrt3`

Explanation:

Both `sqrt2 and sqrt3` are irrational numbers because they cannot be expressed as a simple fraction of two integers.

The Product:

`sqrt2 xx sqrt8`

`=sqrt16`

= 4

The result, 4, is a rational number because it can be written as the fraction `4/1`

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Chapter 1: Rational and Irrational Numbers - Exercise 1 (B) [Page 14]

APPEARS IN

Selina Concise Mathematics [English] Class 9 ICSE
Chapter 1 Rational and Irrational Numbers
Exercise 1 (B) | Q 12 | Page 14
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